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Finding the Fourth Proportional to 5,999.66, 8,999.49 and 3,419

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Solution

The fourth proportional to 5,999.66, 8,999.49 and 3,419 is: 5,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.66 : 8,999.49 = 3,419 : x
  2. Step 2: Convert to fraction form
    5,999.66/8,999.49 = 3,419/x
  3. Step 3: Cross multiply
    5,999.66x = 8,999.49 × 3,419
  4. Step 4: Simplify right side
    5,999.66x = 30,769,256.31
  5. Step 5: Solve for x
    x = 30,769,256.31/5,999.66
  6. Step 6: Final answer
    x = 5,128.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.